`sqrt(2)` is a polynomial of degree

Options

A. 2
B. 0
C. 1
D. `(1)/(2)`

Explanation

To determine the degree of the polynomial for the expression \( \sqrt{2} \), we need to understand the definition of a polynomial and its degree.

### Step-by-Step Solution:

1. **Understanding Polynomials**: A polynomial is an expression that consists of variables raised to non-negative integer powers, along with coefficients. For example, \( 2x^3 + 3x^2 - x + 5 \) is a polynomial in \( x \).

2. **Identifying Variables**: The degree of a polynomial is defined as the highest power of the variable in the polynomial. For instance, in the polynomial \( 2x^3 + 3x^2 - x + 5 \), the highest power of \( x \) is 3, so the degree of this polynomial is 3.

3. **Analyzing \( \sqrt{2} \)**: The expression \( \sqrt{2} \) is a constant value. It does not contain any variables. Since there are no variables present, we cannot assign a degree based on the highest power of a variable.

4. **Conclusion**: Since \( \sqrt{2} \) is a constant and does not have any variable, it can be considered as a polynomial of degree 0. This is because any constant can be viewed as a polynomial with a degree of 0, as it can be expressed as \( c \cdot x^0 \) where \( c \) is a constant.

Thus, the polynomial degree of \( \sqrt{2} \) is **0**.